387408 has 40 divisors (see below), whose sum is σ = 1144768. Its totient is φ = 110592.

The previous prime is 387403. The next prime is 387433. The reversal of 387408 is 804783.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 387408.

It is not an unprimeable number, because it can be changed into a prime (387403) by changing a digit.

387408 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241 + ... + 912.

2³⁸⁷⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

387408 is an abundant number, since it is smaller than the sum of its proper divisors (757360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

387408 is a wasteful number, since it uses less digits than its factorization.

387408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 387408 is about 622.4210793346. The cubic root of 387408 is about 72.8992166497.

The spelling of 387408 in words is "three hundred eighty-seven thousand, four hundred eight".